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Shape reconstruction of an inverse Stokes problem

✍ Scribed by Wen-Jing Yan; Yi-Chen Ma

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
162 KB
Volume
216
Category
Article
ISSN
0377-0427

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✦ Synopsis

This paper deals with the shape reconstruction of a viscous incompressible fluid driven by the Stokes flow. For the approximate solution of the ill-posed and nonlinear problem we propose a regularized Newton method. A theoretical foundation for the Newton method is given by establishing the differentiability of the initial boundary value problem with respect to the interior boundary curve in the sense of a domain derivative. The numerical examples show that our theory is useful for practical purpose and the proposed algorithm is feasible.

πŸ“œ SIMILAR VOLUMES

An iterative method for the shape recons
An iterative method for the shape reconstruction of the inverse Euler problem
✍ Wenjing Yan; Yaling He; Yichen Ma πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 112 KB

## Abstract This article is concerned with the shape reconstruction for the inviscid fluid governed by the Euler equations. By formulating the domain derivative of the Euler equations and applying a regularized Gauss‐Newton iterative algorithm, the numerical examples are given for recovering the sh